Use the central bank's loss ellipses and Phillips curves to derive the MR curve in the following

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Use the central bank's loss ellipses and Phillips curves to derive the MR curve in the following cases:

(a) When \(\alpha=1\) and \(\beta=1\)

(b) When \(\alpha=1\) and \(\beta<1\)

(c) When \(\alpha<1\) and \(\beta=1\).

In cases

(b) and

(c) how can the changes in \(\alpha\) and \(\beta\) be interpreted? What do they suggest for the central bank's best response to an inflation shock?

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